87750144 has 120 divisors (see below), whose sum is σ = 256936680. Its totient is φ = 28827648.

The previous prime is 87750133. The next prime is 87750163. The reversal of 87750144 is 44105778.

87750144 = T₂₅₃₆ + T₂₅₃₇ + ... + T₂₅₆₂.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87750099 and 87750108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 631227 + ... + 631365.

It is an arithmetic number, because the mean of its divisors is an integer number (2141139).

Almost surely, 2^87750144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128468340).

87750144 is an abundant number, since it is smaller than the sum of its proper divisors (169186536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87750144 is a wasteful number, since it uses less digits than its factorization.

87750144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 87750144 is about 9367.5046837458. The cubic root of 87750144 is about 444.3746533376.

The spelling of 87750144 in words is "eighty-seven million, seven hundred fifty thousand, one hundred forty-four".